Milad Marvian

Hamiltonian singular value transformation and inverse block encoding

2021 · arXiv (Cornell University)

The quantum singular value transformation is a powerful quantum algorithm that allows one to apply a polynomial transformation to the singular values of a matrix that is embedded as a block of a unitary transformation. …

Hardness and Ease of Curing the Sign Problem for Two-Local Qubit\n Hamiltonians

2019 · arXiv (Cornell University)

We examine the problem of determining whether a multi-qubit two-local\nHamiltonian can be made stoquastic by single-qubit unitary transformations. We\nprove that when such a Hamiltonian contains one-local terms, then this task can\nbe NP-hard. This is shown …